When re-unlocking vault, support "Log in with device"

When first loading vault.bitwarden.com with a user-agent that has logged in before, “Log in with device” is available as a login option.

It would be nice to have it, “Log in with device”, available for unlocking the web vault (and presumably also desktop, possibly mobile) , when re-unlocking it, after timeout-based or manual locking of the vault.